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Finding the Fourth Proportional to 308.36, 459.16 and 304.92

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Solution

The fourth proportional to 308.36, 459.16 and 304.92 is: 454.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.36 : 459.16 = 304.92 : x
  2. Step 2: Convert to fraction form
    308.36/459.16 = 304.92/x
  3. Step 3: Cross multiply
    308.36x = 459.16 × 304.92
  4. Step 4: Simplify right side
    308.36x = 140,007.07
  5. Step 5: Solve for x
    x = 140,007.07/308.36
  6. Step 6: Final answer
    x = 454.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.